If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?

Answers

Answer 1

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

When y= [tex] \frac{5}{28} [/tex],

[tex]z = 32 \div \frac{5}{28} [/tex]

[tex]z = 32 \times \frac{28}{5} [/tex]

z= 179.2


Related Questions

Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.

Answers

answer:

1

Step-by-step explanation:

#'s between zero and two = one

the only number between 0 and two is 1

x = 1  y = 1  z = 1

the average value of the sum of the squares of x, y and z = 1

1, 1, 1

the average is 1

Match the dimensions of each rectangle with its corresponding area.
3 feet by 8 feet
90 square feet
5 feet by 7 feet
24 square feet
9 feet by 10 feet
64 square feet
13 feet by 2 feet
26 square feet
8 feet by 8 feet
35 square feet

Answers

Answer:

3x8= 24sf

5x7= 35sf

9x10= 90sf

13x2= 26sf

8x8= 64sf

Step-by-step explanation:

please give explanation and answers for brainlist

Answers

Answer:

y - (-1) = 6/15 (x - 4)

(y + 1) 15 = 6 (x - 4)

15y + 15 = 6x - 24

15y = 6x -24 -15

15y = 6x - 39

Step-by-step explanation:

try hard

Plane B is flying 55mph
55

mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.

Answers

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

It takes 5s to each plane to travel

19. Round the number 347 500 to the nearest 1000; 10 000 and 100 000.
To the nearest 1000
To the nearest 10 000
To the nearest 100 000

Answers

Answer:

34800, 350000, 300000

Step-by-step explanation:

5>=5

34800

7>=5

350000

4<=5

300000

Consider the following equation:

5x+4y=−3
Determine if the given ordered pair, (1,−2), satisfies the given equation
yes or no

Answers

Answer:

(1, - 2 ) is a solution

Step-by-step explanation:

Substitute the coordinates into the left side and if equal to the right side then the ordered pair is a solution.

5(1) + 4(- 2) = 5 + (- 8) = 5 - 8 = - 3 = right- side

Then (1, - 2 ) is a solution of the equation

Which one is the correct answer ? Find the amplitude , period. Phase shift asymptotes domain range Use the fact that cos(x)=0 will be an asymptote

Answers

Answer:

3. is your correct answer ok

b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10

Answers

For 0 minutes she can burn 0 calories

For 10 minutes she can burn 20-40 calories

For 15 mins she can burn 40-60 calories

For 30 minutes she can burn 140-295 calories

I hoped this helped!

Have a great day/night! :)

Please any math experts helps thank you

Answers

Answer:

[tex]\frac{t^2-16}{t^2-8t+16}[/tex]

We can factorise the numerator which the difference of squares formula:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

---------------------------------

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]

Next, factorise the denominator:

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]

[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]

Cancel out the common factor of (t-4):

[tex]\frac{t+4}{t-4}[/tex]

Cuál es la altura (h) del velero

Answers

The answer is 8.72, the question is on the internet

Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m

Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.

El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.

Podemos usar la relación trigonométrica:

Tan(θ) = (cateto opuesto)/(cateto adyacente)

Reemplazando los valores que conocemos, obtendremos:

Tan(55°) = h/3m

Tan(55°)*3m = h = 4.28m

La altura h del velero es 4.28m

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https://brainly.com/question/22050734

Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12

Answers

Answer:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

A game designer is creating a computer animation of a rectangle with sides that vary in size. The length of the rectangle in centimeters after t seconds is given by the expression 2t-9, while the width is given by the expression 1 + t. After how many seconds is the rectangle a square?

Answers

Answer:

Step-by-step explanation:

Squares have equal length and widths

2t - 9 = 1 + t

2t - t - 9 + 9 = 1 + 9 + t - t

t = 10 s

plz help!!!!!!!!!!!!!!!!

Answers

Answer:

C = 50°

Step-by-step explanation:

In the given figure, it tells us which angles are the same. ( You can look at the red marks. )

So, 68 + 62 = 130.

As we all know, the sum of all angles in any triangle is 180.

So, 180 - 130 = 50.

That is Angle C.

I hope it helps.

Solve
27-(-8)

A. 35

B. 19

C. -19

D. -35

Answers

A.35 because 2 minuses equal a positive so you would cancel out and add them together

The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.

Step-by-step explanation:

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

Resolution:

[tex]\large \sf =27-(-8)[/tex]

[tex]\large \sf =27+8[/tex]

[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]

So, the numeric value of this numeric expression will be 35.

can you please help me

Answers

Answer:

84000

Step-by-step explanation:

just searched it up plus you have to multiply it

what are the first four terms in the sequence Tn=4n+9?

Answers

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

Anyone that can answer it right gets 30!

Answers

Answer:C)

it's 13

A) is 11

B) also 11

C) 13=13

D)343

Answer:

The correct choice is c. 1+2•6

Step-by-step explanation:

5+2³ = 1+2•65+8 = 1+1213 = 13

Food A 150 calories in 3/4 of a serving. Food B 250 calories in 2/3 of a serving. Find each unit rate. Which food has fewer calories per serving?

Answers

Food A 112.50
Food B 166.50
Food A has less calories

Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.

Answers

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243

whats 3/16 divided by 12

Answers

Answer:

0.015625

Step-by-step explana

The answer is 0.015625

What is the slope of the line on the graph?

Answers

Answer:

Step-by-step explanation: to find the slope rise over run

Acute triangle from one point to the other

Answer 4/11

Need help with this question

Answers

Answer: D

Step-by-step explanation: n

Please help me , fast

Answers

Answer:

0.3 with the hat ? the answer is first no, then it's a repeated decimal.

Step-by-step explanation:

Convert 32∘C to ∘F. Round to one decimal place.

Answers

Answer:

89.6°F

Step-by-step explanation:

hope this helps

have a good day or night

Answer:

89.6∘F

Step-by-step explanation:

[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]

32∘C should be 89.6∘F.

Hope this helps.

Use the long division method to find the result when 12x^3+25x^2+4x-112x
3
+25x
2
+4x−1 is divided by 3x+13x+1.

Answers

Answer:

(4x + 3) • (x + 2) • (3x - 2)

Thats finding the root polynomials hope it helps a bit

Help help help help help help soon people help

Answers

Answer:

A'(5,1)

B'(6,-3)

C'(2,3)

Step-by-step explanation:

assuming the translation is right 3, just add 3 to each x value

You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?

Answers

Answer:

$2,100

Step-by-step explanation:

'regular' pay is 375/10 or $37.50 per hour

'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour

'double time' would be (2)37.50 = $75.00

35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'

so:

(7)75 + (28)56.25 = 525 + 1575

Total overtime pay for 2-week period is $2,100

Find the values of x, y, and z angle measurements

Answers

X=40 y=100 x=40 I think

Problem 6 6 Previous Problem Problem List Next Problem (3 points) According to the 2010 United States Census, the population of a town was 98034, roughly a 27% increase from 77192 in 2000. blems Construct an exponential model to predict the town's population each decade. Use your model to predict the population of the town in 2050. (Express your answer rounded to the nearest whole person.) Hint: Note: You are in the Reduced Scoring Period: All additional work done counts 50% of the original. Preview My Answers Submit Answers Show me another You have attempted this problem 5 ​

Answers

Answer:

125,148 to the nearest person

Step-by-step explanation:

A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient

Answers

The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.  

Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,

stream gradient = vertical change in elevation / horizontal distance

where

vertical change in elevation = 30 feet

horizontal distance = 2640 feet

stream gradient = 30 / 2640

stream gradient  = 0.01136363636

read more: https://brainly.com/question/13750927?referrer=searchResults

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